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Finding the Third Proportional to 782,408 and 1,668,163

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Solution

The third proportional to 782,408 and 1,668,163 is: 3,556,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,408 : 1,668,163 = 1,668,163 : x
  2. Step 2: Convert to fraction form
    782,408/1,668,163 = 1,668,163/x
  3. Step 3: Cross multiply
    782,408x = 1,668,163 × 1,668,163
  4. Step 4: Simplify right side
    782,408x = 2,782,767,794,569
  5. Step 5: Solve for x
    x = 2,782,767,794,569/782,408
  6. Step 6: Final answer
    x = 3,556,670.94

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.